Analysis of Statically Determined Structures
Áreas Científicas |
Classificação |
Área Científica |
OFICIAL |
Mecânica e Estruturas |
Ocorrência: 2022/2023 - 2S
Ciclos de Estudo/Cursos
Sigla |
Nº de Estudantes |
Plano de Estudos |
Anos Curriculares |
Créditos UCN |
Créditos ECTS |
Horas de Contacto |
Horas Totais |
CIVD |
22 |
Study Plan |
1 |
- |
6 |
75 |
162 |
Docência - Responsabilidades
Língua de trabalho
Portuguese
Objetivos
By the end of this course the student will acquire the competences to be able to solve problems involving the equilibrium of determinate structures in two and three dimensions; analyse the statical determinacy; determine support reactions and to represent internal forces diagrams. The student have to be able to apply the Principle of Virtual Work in determinate structures and to represent influence lines.Resultados de aprendizagem e competências
Students must acquire basic basic skills related to isostatic structural analysis (statical determinancy, equilibrium, reactions, stresses) indispensable in a civil engineering training.
Modo de trabalho
Presencial
Pré-requisitos (conhecimentos prévios) e co-requisitos (conhecimentos simultâneos)
Knowledges of mechanics: forces, moments, equilibrium.
Programa
1 - STATICAL DETERMINACY (2,5 weeks)
The design of structures. Fundamental concepts in analysis of structures. Main models of structural analysis.
External determinacy. Improperly constrained structures. Internal determinacy.
2 - EQUILIBRIUM OF STRUCTURES IN TWO AND THREE DIMENSIONS (4 weeks)
Internal forces. Newton´s third law. Truss analysis. Free body diagram. Equations of equilibrium. Symmetric
structures subjected to symmetric and anti-symmetric actions.
3 - INTERNAL FORCES AND DIAGRAMS (4 weeks)Linear elements. Internal forces in linear elements: axial force; shear force; bending moment. Internal forces
diagrams. Relations between load, shear and bending moment.
4. VIRTUAL WORK PRINCIPLE (2.5 weeks)
Definition of virtual work and virtual displacement. Principle of virtual work and its application to determinate
structures.
5. INFLUENCE LINES (2 weeks)
Travelling loads. Influence lines for support reactions and internal forces in determinate structures.Bibliografia Obrigatória
Beer; Johnston; Mecânica Vetorial para Engenheiros: Estática, McGraw Hill, 2019
Pedro Neto; Análise da estatia de uma estrutura, 2007
João Vinagre; Folhas de Análise de Estruturas Isostáticas, 2021
Métodos de ensino e atividades de aprendizagem
Topics are presented, with emphasis on the most relevant aspects, followed by the resolution, by students, of practical cases.
Tipo de avaliação
Distributed evaluation with final exam
Componentes de Avaliação
Designation |
Peso (%) |
Teste |
90,00 |
Trabalho escrito |
5,00 |
Trabalho laboratorial |
5,00 |
Total: |
100,00 |
Componentes de Ocupação
Designation |
Tempo (Horas) |
Estudo autónomo |
52,00 |
Frequência das aulas |
60,00 |
Trabalho escrito |
50,00 |
Total: |
162,00 |
Obtenção de frequência
Mandatory attendance of at least 80% to obtain frequency.
Fórmula de cálculo da classificação final
Continuous Assessment (CA)
Accomplishment of the following components (evaluated on a scale of 0 to 20) throughout the semester:
- Individual exercises average grade (IE) (90%);
- Exercises and Tests to be performed in Moodle environment and a laboratory work (M) (10%).
The individual tests will be a total of 6 (six), all of which will be counted for the grade calculation, IE, and carried out in the academic period, in a date specified at least at the week before.
FG = CA = Individual exercises (90%) + Moodle exercices and Laboratory Group Work (10%)
Exam (E)
FG = E = Exam (100%)